Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

An ideal gas ( = 1.5 ) initially at 300 K and 100 kPa with a volume of 1 litre is suddenly compressed to half its original volume. What is the change in the internal energy of the gas?

Options

  1. A82.8 J
  2. B-82.8 J
  3. C41.4 J
  4. D-41.4 J

Correct answer

A. 82.8 J

Step-by-step solution

According to the first law of thermodynamics, Q = U + W . Since the sudden compression is an adiabatic process, there is no heat exchange, so Q = 0 . This implies the change in internal energy is U = -W . Using the work done calculated previously, U = -(-82.8 J ) = 82.8 J .

Practice Specific Heat Capacities of Gases on Quantrex Academy →

More from Specific Heat Capacities of Gases

The ratio of molar heat capacities for an ideal gas is given as C_p / C_V = 7/6 . Find the change in internal energy of 1.0 mole of the gas when its temperature is raised by 50 K aAn ideal gas has a molar heat capacity ratio of C_p / C_V = 7/6 . Determine the change in internal energy of 1.0 mole of this gas when its temperature is raised by 50 K while keepiAs illustrated in the figure, a cylindrical container holds oxygen ( = 1.4 ) and is sealed by a 50 kg frictionless piston. The cross-sectional area is 100 cm ^2 , the atmospheric pA vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g mol ⁻¹ ) travels on a floor at a speed of 50 m s ⁻¹ . The vessel is abruptly brought to rest. AssuminWhen 50 J of heat is supplied to an ideal gas, it expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa . Calculate the change in internal energy of the gas.An ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa when 50 J of heat is supplied to it. Assuming the initial temperature is 300 K , calculate thAn ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa upon being supplied with 50 J of heat. Determine the number of moles in the gas if its initiaDuring a particular process, a monatomic ideal gas absorbs an amount of heat Q and performs work equal to Q/2 on its surroundings. Determine the molar heat capacity of the gas for Full Specific Heat Capacities of Gases list All Concepts Of Physics MCQ Edition [Volume 2] PYQs