At 189k a sample of gas has a volume of 32.0cm. what does the gas occupy at 242k

At 189 K volume = 32.0 cm

As volume of gas is directly proportional to temperature.

As the temperature increase the volume of gas will also increase.

so

Volume at 1 K = 32/189

Volume at 242 K = 32/189 * 242 = 40.97 cm.

Gas occupy 40.97 cm volume at 242 K.