Question

To double the volume of a given mass of an ideal gas at 27 degrees Celsius, keeping pressure constant, one must raise the temperature in degree Celsius to:

a. 300
b. 327
c. 273
d. 300

Answer 1

To double the volume of an ideal gas at constant pressure, starting at 27°C, we apply Charles's law and find that the required temperature is b. 327°C.

Step-by-step explanation:

To determine the temperature required to double the volume of an ideal gas at constant pressure, while starting at 27 degrees Celsius, we apply Charles's law. This law states that the volume of an ideal gas is directly proportional to its temperature in Kelvins, provided the pressure is kept constant. First, we convert the initial temperature from Celsius to Kelvins:

T1 = 27°C + 273 = 300 K

Now, let's assume the final volume is twice the initial volume (V2 = 2V1). According to Charles's law (V1/T1 = V2/T2), and given that V2 = 2V1, we can rewrite the equation as:

300 K / T1 = 2 * 300 K / T2

Therefore, T2 = 2 * T1

T2 = 2 * 300 K

T2 = 600 K

Finally, convert T2 back to Celsius:

T2 = 600 K - 273

T2 = 327°C

The temperature required to double the volume of the gas while keeping the pressure constant is 327°C.