1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
3 years ago
5

A 425-ml sample of hydrogen is collected above water at 35°c and 763 torr. find the volume of the hydrogen sample when the tempe

rature falls to 23°c, assuming the barometric pressure does not change. (vapor pressures of water : at 35°c, 42.2 torr ; at 23°c, 21.1 torr)
Chemistry
2 answers:
PilotLPTM [1.2K]3 years ago
5 0
From the gas laws, Charles law states that the volume of a fixed mas of a gas is directly proportional to absolute temperature at constant pressure.
and Boyle's law states that the volume of a fixed mass of a gas is inversely proportional to pressure at constant temperature, therefore combining the two we have, PV/T, for two gases we have,
P1V1/T1=P2V2/T2
V1 = 425 ml, T1= 35 +273 =308 K, P1= 805.2 torr
V2 = ?  and T2 = 23 +273 = 296K, P2 = 784.1torr
  V2 = P1V1T2/P2T1
       = (805.2×425×296)/784×308
       = 419.486 ml
       = 419.5 ml
 
bezimeni [28]3 years ago
5 0

Volume of hydrogen sample at 23^\circ\text{C} is \boxed{419.4\text{ mL}}.

Further Explanation:

Ideal gas equation:

A hypothetical gas comprising of many randomly moving particles having perfectly elastic collisions between them is called ideal gas. The expression for ideal gas equation is mentioned below.

\text{PV}=\text{nRT}                                                      ...... (1)

Here,

P is the pressure of gas.

V is the volume of gas.

T is the absolute temperature of gas.

n is the number of moles of gas.

R is the universal gas constant.

At temperature \text{T}_{1} , volume \text{V}_{1}  and pressure \text{P}_{1} , ideal gas equation for hydrogen gas modifies as follows:

\text{P}_{1}\text{V}_{1}=\text{nRT}_{1}                                                  ...... (2)

At temperature \text{T}_{2} , volume \text{V}_{2}  and pressure \text{P}_{2} , ideal gas equation for hydrogen gas modifies as follows:

\text{P}_{2}\text{V}_{2}=\text{nRT}_{2}                                                  ...... (3)

Dividing equation (3) by equation (2),

\dfrac{\text{P}_{2}\text{V}_{2}}{\text{P}_{1}\text{V}_{1}}=\dfrac{\text{T}_{2}}{\text{T}_{1}}                                                      ...... (4)

Rearrange equation (4) to calculate  .

\text{V}_{2}=\dfrac{{\text{P}_{1}\text{V}_{1}\text{T}_{2}}}{\text{P}_{2}\text{T}_{1}}                                                  …… (5)

The value of \text{P}_{1}  can be calculated as follows:

 \begin{aligned}\text{P}_{1}=&763\text{ torr}+42.2\text{ torr}\\=&805.2\text{ torr}\end{aligned}

The value of \text{P}_{2}  can be calculated as follows:

 \begin{aligned}\text{P}_{2}=&763\text{ torr}+21.1\text{ torr}\\=&784.1\text{ torr}\end{aligned}

The value of  \text{T}_1 can be calculated as follows

\begin{aligned}\text{T}_1=&\left(35+273.15\right)\text{ K}\\=&\ 308.15\text{ K}\end{aligned}

The value of  \text{T}_2 can be calculated as follows

\begin{aligned}\text{T}_2=&\left(23+273.15\right)\text{ K}\\=&\ 296.15\text{ K}\end{aligned}

Substitute 805.2 torr for \text{P}_{1}  , 425 mL for \text{V}_{1} , 784.1 torr for \text{P}_{2} , 308.15 K for \text{T}_{1}  and 296.15 K for \text{T}_{2}  in equation (5).

\begin{aligned}\text{V}_{2}&=\dfrac{\left({805.2\text{ torr}\right)\left(425\text{ mL}\right)\left(296.15\text{ K}\right)}}{\left(784.1\text{ torr}\right)\left(308.15\text{ K}\right)}\\&=419.4\text{ mL}\end{aligned}

Therefore volume of hydrogen sample at 23^\circ\text{ C}  comes out to be 419.4 mL.

Learn more:

1. Which statement is true for Boyle’s law? brainly.com/question/1158880

2. Calculation of volume of gas: brainly.com/question/3636135

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Ideal gas equation

Keywords: ideal gas equation, R, T, n, P, V, T1, T2, P1, P2, V1, V2, 419.4 mL, pressure, volume, universal gas constant.

You might be interested in
How much ch2o is needed to prepare 445 ml of a 2.65 m solution of ch2o?
worty [1.4K]

Answer: 35.4 grams

Explanation:

Molarity of a solution is defined as the number of moles of solute dissolved per Liter of the solution.

Molarity=\frac{n\times 1000}{V_s}

where,

Molality = 2.65

n= moles of solute =?

 V_s = volume of solution in ml = 445 ml

Putting in the values we get:

2.65=\frac{n\times 1000}{445ml}

n=1.18

Mass of solute in g=moles\times {\text {molar mass}}=1.18mol\times 30.02g/mol=35.4g

Thus 35.4 grams of CH_2O is needed to prepare 445 ml of a 2.65 m solution of CH_2O.

8 0
3 years ago
At standard temperature and pressure, what volume does 0.5 mol of CO2 occupyAt standard temperature and pressure, what volume do
Zigmanuir [339]
<span>C. 11.2 L There are several different ways to solve this problem. You can look up the density of CO2 at STP and work from there with the molar mass of CO2, but the easiest is to assume that CO2 is an ideal gas and use the ideal gas properties. The key property is that a mole of an idea gas occupies 22.413962 liters. And since you have 0.5 moles, the gas you have will occupy half the volume which is 22.413962 * 0.5 = 11.20698 liters. And of the available choices, option "C. 11.2 L" is the closest match. Note: The figure of 22.413962 l/mole is using the pre 1982 definition of STP which is a temperature of 273.15 K and a pressure of 1 atmosphere (1.01325 x 10^5 pascals). Since 1982, the definition of STP has changed to a temperature of 273.15 K and a pressure of exactly 10^5 pascals. Because of this lower pressure, one mole of an ideal gas will have the higher volume of 22.710947 liters instead of the older value of 22.413962 liters.</span>
4 0
3 years ago
Sulfur and magnesium both have two valence electrons.<br> a. True<br> b. False
Nezavi [6.7K]
It would be false sulfur has 6 
3 0
3 years ago
How do I round 10.25 to only 3 significant digits
Lady_Fox [76]
10.3 is good the correct rounding of three sig figures

3 0
3 years ago
Vitamin D has a percent composition of 42.98% C, and 57.02% H. Its molecular
Alex73 [517]

Answer:

Dont use alot of points

Explanation:

people scam like me and ay the wrong answer and get the points :|

3 0
3 years ago
Other questions:
  • Consider the reaction below. 2Al2O3 4Al + 3O2 What is the mole ratio of oxygen to aluminum?
    15·2 answers
  • A chemist has two compounds that do not chemically react. He thinks that by finding the right catalyst, he can get them to react
    15·2 answers
  • Which direction does the red end of the needle of a compass point?
    10·1 answer
  • A voltaic cell is constructed from an Ni2+(aq)−Ni(s) half-cell and an Ag+(aq)−Ag(s) half-cell. The initial concentration of Ni2+
    9·1 answer
  • Mg​ +2​+ 2e- → Mg oxidation or reduction
    14·1 answer
  • Which statements describe the genetic code? Check all that apply.
    5·2 answers
  • Which one of the following processes produces a decrease in the entropy of the system?a, precipitation of AgCl(s) from Ag+(aq) a
    13·1 answer
  • Name two fluid technologies that make use of air.
    13·1 answer
  • NaOH(aq) + MgSO4(aq) →
    5·1 answer
  • Which molecule is polar, based on structure?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!