The absolute temperature of a sample of monatomic ideal gas is doubled at consta

Question

The absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. What effect, if any, does this have on the pressure and density of the sample of gas?
Pressure                      Density
A. Remains the same     Remains the same
B. Remains the same     Doubles
C. Doubles                     Remains the same
D. Doubles Is multiplied by a factor of 4
E. Is multiplied by a factor of 4 Doubles


10. Calculate the work done on a gas in expanding from a volume of 1 liter at a constant pressure of 5 atm to a new volume of 2 liters.



please explain!!

Explanation / Answer

We know PV =nRT so at constant volume, if T incereses , Pressure also increase by double also, PM = dRT where, M is molecular mass of the gas and d is density of the gas Density of the gas will remain constant as it is not a function of temperature W = - PdV = 5*10^5 ( 2-1)/1000 = 500J

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