Question

When 100 J of heat is supplied to a gas, the increase in the internal energy of the gas is 60 J. Then the gas is/can

• A. be triatomic or diatomic gas
• B. Triatomic gas
• C. Monoatomic gas
• D. Diatomic gas

Hint:

Remember the first law of thermodynamics for closed systems: \( \Delta U = Q - W \), where \( W \) is the work done by the system. This is crucial in analyzing energy transfer processes.

Answer 1

The Correct Option is C

Given that 100 J of heat is added to the gas and the internal energy of the gas increases by 60 J, it means that 40 J of work is done by the system (since \( Q = \Delta U + W \) where \( Q \) is the heat added, \( \Delta U \) is the change in internal energy, and \( W \) is the work done). This scenario is typical for a monoatomic gas under specific conditions that favor internal energy change predominantly over work done against external pressures. This characteristic behavior points toward the gas possibly being monoatomic, especially in idealized scenarios used in instructional settings.