The initial volume of a gas at 300 K was 220 cm 3 Determine its temperature if the volume became 250 cm 3
Answer Details
This is an application of Charles's Law, which states that at constant pressure, the volume of a given mass of gas is directly proportional to its absolute temperature. Mathematically, V/T = k, where V is the volume of the gas, T is its absolute temperature, and k is a constant. So, if the initial volume of the gas is 220 cm 3 at a temperature of 300 K, we can use the above equation to find the value of k. V/T = k 220/300 = k k = 0.7333 (rounded to four decimal places) Now, if the volume of the gas changes to 250 cm 3, we can use the same equation to find its new temperature, T. V/T = k 250/T = 0.7333 T = 250/0.7333 T = 341 K (rounded to the nearest whole number) Therefore, the temperature of the gas when its volume changes from 220 cm 3 to 250 cm 3 is 341 K. Hence, the correct answer is.