1. Tardigrade
  2. Question
  3. Physics
  4. A cylinder of fixed capacity 44.8 L contains a monoatomic gas at standard temperature and pressure. The amount of heat required to raise the temperature of cylinder by 10° C will be (R = universal gas constant)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A cylinder of fixed capacity 44.8 L contains a monoatomic gas at standard temperature and pressure. The amount of heat required to raise the temperature of cylinder by $ 10{}^\circ C $ will be (R = universal gas constant)

Rajasthan PMTRajasthan PMT 2010

Solution:

As we know 1 mole of any ideal gas at STP occupies a volume of $ 22.4\,\,L $ Hence, number of moles of gas $ \mu =\frac{44.8}{22.4}=2 $ Since, the volume of cylinder is fixed. Hence, $ {{(\Delta Q)}_{V}}=\mu {{C}_{V}}\Delta T $ $ =2\times \frac{3}{2}R\times 10=30R\left( \because {{({{C}_{V}})}_{mono}}=\frac{3}{2}R \right) $