When 229 J of energy is supplied as heat at constant pressure to 3 mol Ar(g), the temperature of the sample is increased by 2.55K. Calcate molar heat capacity at constant volume?

Question

Answer

Answer

Calculation of Molar Heat Capacity at Constant Volume of Argon Gas

In order to calculate the molar heat capacity at constant volume of argon gas, we need to use the following formula:

Cv = (ΔU / nΔT)

Given Data

Energy supplied as heat (q) = 229 J

Number of moles of argon gas (n) = 3 mol

Change in temperature (ΔT) = 2.55 K

Calculations

Since the pressure is constant, the energy supplied as heat (q) is equal to the change in enthalpy (ΔH).

Therefore, we can use the following formula:

ΔH = q = nCpΔT

where Cp is the molar heat capacity at constant pressure.

Substituting the given values, we get:

Cp = ΔH / nΔT = 229 J / (3 mol x 2.55 K) = 29.0 J/(mol K)

Next, we can use the relationship between Cp and Cv to calculate the molar heat capacity at constant volume (Cv).

Cp - Cv = R

where R is the gas constant.

For argon gas, R = 8.31 J/(mol K).

Therefore, we can calculate Cv as:

Cv = Cp - R = 29.0 J/(mol K) - 8.31 J/(mol K) = 20.7 J/(mol K)

Conclusion

The molar heat capacity at constant volume of argon gas is 20.7 J/(mol K).

Similar Class 11 Doubts

The molar heat capacity of water at constant pressure is 75 JK–1 mol–1. When 1kJ of heat is supplied to 100 g of water, which is free to expand, the increase in temperature of water is [2003]

When an ideal gas (gamma = 1.4 ) is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is (

specific heat of air at constant pressure and constant volume are 0.237cal /g/C and 0.169cal /g/C and J ÷= 4 .2J/cal .Calculate density of air Related: Specific Heat Capacity and Calorimetry?

140 cal of heat is required to raise the temperature of 4 mole of an ideal gas at constant pressure from 40 to 45degree Celsius . what is the amount of heat required to raise temperature of same gas through same temperature of constant volume? Ans: 100 cal explain?

Molar heat capacity of a gas at constant temperature and pressure is?

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test Series

English Class 11

Chemistry Practice Tests: CUET Preparation

CUET Mock Test: Humanities Subjects 2025

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams