The gas in a cylinder with a piston has a volume of 2.4 m3 and a tempture of 450k. Kwpping the pressure constant the volume is changed to 7.2 m3. What is the new temputure?
To find the new temperature of the gas, we can use Charles's Law, which states that the volume and temperature of a gas are directly proportional when pressure is kept constant.
First, we'll label the initial conditions:
Initial Volume (V1) = 2.4 m^3
Initial Temperature (T1) = 450 K
Then, we'll label the new conditions:
New Volume (V2) = 7.2 m^3
New Temperature (T2) = ?
According to Charles's Law, the ratio of the initial and new temperatures must be equal to the ratio of the initial and new volumes:
T1 / V1 = T2 / V2
Substituting the given values:
450 K / 2.4 m^3 = T2 / 7.2 m^3
Now we can solve for T2 by cross-multiplying and dividing:
T2 = (450 K / 2.4 m^3) * 7.2 m^3
T2 = 1,350 K
Therefore, the new temperature of the gas is 1,350 K.