Solve the problem.
-The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give when T = 460°C and What is the volume on this
Device when the temperature is 380°C and the pressure is
D) V = 112 in3

Question

Solve the problem.
-The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give  when T = 460°C and  What is the volume on this
Device when the temperature is 380°C and the pressure is 
D) V = 112 in3

Quizplus · Accepted Answer

We can write the formula as V = kT/P, where k is the constant of proportionality. We can find k by plugging in the given values:

11ebb63d_1b65_5ce9_b851_6bfefcd1ca09_TB8475_11 = k(460)/(11ebb63d_1b65_5cea_b851_2518ac8393b9_TB8475_11)
k = 11ebb63d_1b65_83e7_b851_3f8c7fd51b54_TB8475_11

Now we can use this value of k to find the volume when T = 380°C and P = 11ebb63d_1b65_5ceb_b851_ab8a76230ca3_TB8475_11:

V = (11ebb63d_1b65_83e7_b851_3f8c7fd51b54_TB8475_11)(380)/(11ebb63d_1b65_5ceb_b851_ab8a76230ca3_TB8475_11)
V = 11ebb63d_1b65_83fd_b851_052f20eb3319_TB8475_11

Solve the Problem. -The Volume V of a Given Mass of Gas Varies