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 DensityA. Remains the same Remains the sameB. Remains the same DoublesC. Doubles Remains the sameD. Doubles Is multiplied by a factor of 4E. Is multiplied by a factor of 4 Doubles

Answer 1

The temperature of the gas doubles while the density will remain the same. therefore the correct answer is C.

The gas equation is given as

 PV=mRT \\  

or\ P\propto T\ \  (\text{at}\ \text{constant}\ \text{volume)}

Therefore when the temperature of the mono atomic ideal gas is doubled, the pressure of the gas will also doubles.

However, in a closed chamber mass of the ideal gas is invariant, since density depends only on the mass and volume therefore the density of the ideal is gas will remain the same.