AP EAMCET201923 Apr 2019Morning ShiftPhysicsKinetic Theory of GasesActual
The specific heat capacities of an ideal gas at the constant pressure and at constant volume are (620 Jkg ⁻¹ ~K ⁻¹ ) and (420 Jkg ⁻¹ ~K ⁻¹ ) respectively. The density of the gas at STP is approximately,
Options
- A(2.88 kgm ⁻³ )
- B(4.86 kgm ⁻³ )
- C(3.88 kgm ⁻³ )
- D(1.86 kgm ⁻³ )
Correct answer
D. (1.86 kgm ⁻³ )
Step-by-step solution
Given, specific heat capacity of a gas at constant pressure, (C_p=620 ~J ~kg ⁻¹ ~K ⁻¹ ) and specific heat capacity of gas at constant volume, (C_V=420 ~J ~kg ⁻¹ ~K ⁻¹ ) ( ) Molar specific heat of gas at constant pressure and constant volume are given by ( C_p ^ =m C_p=m(620) ) and ( C_V ^ =m C_v=m(420) ) As we know that, ( C_p ^ -C_V ^ =R ) [Here, (R ) = universal gas constant] ( aligned m[620-420] & =R m & = R 200 (i) aligned ) Now, ideal gas equation, (p V= R T ) where, ( = ) number of moles of gas or ( aligned &