A rigid container of air is at atmospheric pressure and 27ºC.To double the pressure in the container,heat it to
A)54ºC
B)300ºC
C)327ºC
D)600ºC
E)327 K

Question

Quizplus · Accepted Answer

According to Charles's Law, at a constant pressure, the volume of a gas is directly proportional to its absolute temperature. Therefore, if we want to double the pressure in the container, we need to increase the temperature by a factor of 2 as well. To find the new temperature, we can use the formula:
(T2/T1) = (P2/P1) 
where T1 is the initial temperature, T2 is the final temperature, P1 is the initial pressure (atmospheric pressure), and P2 is the final pressure (twice the atmospheric pressure). Substituting the values, we get:
(T2/300K) = (2/1)
T2 = 600 K
However, we need to convert this to Celsius, so:
T2 = 327ºC
Therefore, the correct answer is C) 327ºC.

A Rigid Container of Air Is at Atmospheric Pressure and 27ºC.To