All categories

3 years ago

Prove that PV = nRT.

Chemistry

1 answer:

qaws [65]3 years ago

6 0

Find your answer in the explanation below.

Explanation:

PV = nRT is called the ideal gas equation and its a combination of 3 laws; Charles' law, Boyle's law and Avogadro's law.

According to Boyle's law, at constant temperature, the volume of a gas is inversely proportional to the pressure. i.e V = 1/P

From, Charles' law, we have that volume is directly proportional to the absolute temperature of the gas at constant pressure. i.e V = T

Avogadro's law finally states that equal volume of all gases at the same temperature and pressure contain the same number of molecules. i.e V = n

Combining the 3 Laws together i.e equating volume in all 3 laws, we have

V = nT/P,

V = constant nT/P

(constant = general gas constant = R)

V = RnT/P

by bringing P to the LHS, we have,

PV = nRT.

Q.E.D

You might be interested in

A solution consists of 0.50 mole of CaCl2 dissolved in 100. grams of H20 at 25°C. Compared to the boiling point and freezing poi

postnew [5]

The answer is (3) higher boiling point and a lower freezing point.

these phenomena are called Boiling point elevation and Freezing point depression. The amount of solute is directly proportional to the change in freezing/boiling temperature of the solution. The more solute, the lower the freezing point and the higher the boiling point.

7 0

3 years ago

Which of the following elements is most nonmetallic - most wanting of electrons?

Ierofanga [76]

Answer:

B. Fluorine

Explanation:

Nonmetallic character increases from bottom to top in a Group and from left to right in a period (see image).

Thus, the most nonmetallic elements are at the upper right corner of the Periodic Table.

We ignore the noble gases, because they are quite unreactive.

So, the element that most “wants” an electron is fluorine.

3 0

3 years ago

Starting with 9.3 moles of O2, how many moles of H2S will be needed and how many moles of SO2 will be produced in the following

tensa zangetsu [6.8K]

Answer: The amount of hydrogen sulfide needed is 6.2 moles and amount of sulfur dioxide gas produced is 6.2 moles

Explanation:

We are given:

Moles of oxygen gas = 9.3 moles

The chemical equation for the reaction of oxygen gas and hydrogen sulfide follows:

$2H_2S+3O_2\rightarrow 2SO_2+2H_2O$

For hydrogen sulfide:

By Stoichiometry of the reaction:

3 moles of oxygen gas reacts with 2 moles of hydrogen sulfide

So, 9.3 moles of oxygen gas will react with = $\frac{2}{3}\times 9.3=6.2mol$ of hydrogen sulfide

For sulfur dioxide:

By Stoichiometry of the reaction:

3 moles of oxygen gas produces 2 moles of sulfur dioxide

So, 9.3 moles of oxygen gas will produce = $\frac{2}{3}\times 9.3=6.2mol$ of sulfur dioxide

Hence, the amount of hydrogen sulfide needed is 6.2 moles and amount of sulfur dioxide gas produced is 6.2 moles

7 0

3 years ago

What is the relationship between pressure and temperature

hoa [83]

Answer:

The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up.

Explanation:

7 0

3 years ago

3. A sample of air in a syringe exerts a pressure of 1.02 atm at 22.0°C. The syringe is placed in a boiling-water bath at 100.0°

inysia [295]

Answer:

0.214 mL

explanation:

8 0

3 years ago

Prove that PV = nRT.​

Prove that PV = nRT.