Answer to Question #275168 in Physics for lol

Question

A fixed mass of gas is heated inside a rigid container. As its temperature changes from T1

to T2 the pressure increases from 1x105 Pa to 2x105 Pa. Which row in the table shows

possible values for T1 and T2?

T1 T2

A 27°C 327°C

B 30°C 60°C

C 80°C 40°C

D 303 K 333 K

E 600 K 300 K

Answer 1

First, apply the combined gas law:

$$\frac{P_1V}{T_1}=\frac{P_2V}{T_2},\\\space\\ \frac{T_1}{T_2}=\frac{P_1}{P_2}=0.5.$$

So, the ratio of temperatures in Kelvins should be close to 0.5 as well:

$$\frac{27+273}{327+273}=0.5.$$

The temperatures are 27°C and 327°C.