A gas at 5.00 atm pressure was stored in a tank during the winter at 5.0 °C.During the summer,the temperature in the storage area reached 40.0 °C.What was the pressure in the gas tank in the summer,if the volume and amount of gas do not change?
A)0.625 atm
B)4.44 atm
C)5.63 atm
D)40.0 atm
E)69.5 atm

Question

Quizplus · Accepted Answer

The pressure of the gas in the summer can be found using the ideal gas law and the concept of absolute temperature. The relationship between pressure and temperature when volume and amount of gas are constant is given by $P_1/T_1 = P_2/T_2$, where $P_1$ and $P_2$ are the initial and final pressures, and $T_1$ and $T_2$ are the initial and final temperatures in Kelvin. Converting the temperatures to Kelvin: $T_1 = 5.0 + 273.15 = 278.15 K$ and $T_2 = 40.0 + 273.15 = 313.15 K$. Solving for $P_2$, we get $P_2 = P_1 \times (T_2/T_1) = 5.00 \times (313.15/278.15) = 5.63 atm$.

A Gas at 5