Barron's 2nd Edition PT1 Q65

Barron's Book

65) This question asks us to consider the effects on the temperature of a gas when the pressure and volume are changed. We can start this problem with the ideal gas law.

Where P is pressure, V is volume, n is number of moles, R is the universal gas constant, and T is the temperature

We are told that the pressure is doubled while the volume is halved. The idea here is that we want to balance the equation, so anything we do to the left side of the equation should also be done to the right side of the equation.

Where P is pressure, V is volume, n is number of moles, R is the universal gas constant, and T is the temperature

Since we multiply the left side by 2 and divide it by 2, we will do the same to the right side. When we simplify the equation we find that the temperature will not change.

Answer: C