Volume of hydrogen sample at
is
.
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.
...... (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
, volume
and pressure
, ideal gas equation for hydrogen gas modifies as follows:
...... (2)
At temperature
, volume
and pressure
, ideal gas equation for hydrogen gas modifies as follows:
...... (3)
Dividing equation (3) by equation (2),
...... (4)
Rearrange equation (4) to calculate .
…… (5)
The value of
can be calculated as follows:
![\begin{aligned}\text{P}_{1}=&763\text{ torr}+42.2\text{ torr}\\=&805.2\text{ torr}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BP%7D_%7B1%7D%3D%26763%5Ctext%7B%20torr%7D%2B42.2%5Ctext%7B%20torr%7D%5C%5C%3D%26805.2%5Ctext%7B%20torr%7D%5Cend%7Baligned%7D)
The value of
can be calculated as follows:
![\begin{aligned}\text{P}_{2}=&763\text{ torr}+21.1\text{ torr}\\=&784.1\text{ torr}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BP%7D_%7B2%7D%3D%26763%5Ctext%7B%20torr%7D%2B21.1%5Ctext%7B%20torr%7D%5C%5C%3D%26784.1%5Ctext%7B%20torr%7D%5Cend%7Baligned%7D)
The value of
can be calculated as follows
![\begin{aligned}\text{T}_1=&\left(35+273.15\right)\text{ K}\\=&\ 308.15\text{ K}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BT%7D_1%3D%26%5Cleft%2835%2B273.15%5Cright%29%5Ctext%7B%20K%7D%5C%5C%3D%26%5C%20308.15%5Ctext%7B%20K%7D%5Cend%7Baligned%7D)
The value of
can be calculated as follows
![\begin{aligned}\text{T}_2=&\left(23+273.15\right)\text{ K}\\=&\ 296.15\text{ K}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BT%7D_2%3D%26%5Cleft%2823%2B273.15%5Cright%29%5Ctext%7B%20K%7D%5C%5C%3D%26%5C%20296.15%5Ctext%7B%20K%7D%5Cend%7Baligned%7D)
Substitute 805.2 torr for
, 425 mL for
, 784.1 torr for
, 308.15 K for
and 296.15 K for
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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BV%7D_%7B2%7D%26%3D%5Cdfrac%7B%5Cleft%28%7B805.2%5Ctext%7B%20torr%7D%5Cright%29%5Cleft%28425%5Ctext%7B%20mL%7D%5Cright%29%5Cleft%28296.15%5Ctext%7B%20K%7D%5Cright%29%7D%7D%7B%5Cleft%28784.1%5Ctext%7B%20torr%7D%5Cright%29%5Cleft%28308.15%5Ctext%7B%20K%7D%5Cright%29%7D%5C%5C%26%3D419.4%5Ctext%7B%20mL%7D%5Cend%7Baligned%7D)
Therefore volume of hydrogen sample at
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.