The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 15 cubic feet at a temperature of 300 K and a pressure of 40 pounds per square inch, what is the volume of the same gas at 320 K when the pressure is 20 pounds per square inch?

Therefore the volume of the gas is 32 cubic feet.

Step-by-step explanation:

Given that,

The volume of a gas varies directly with its temperature and inversely with the pressure.

V= Volume of the gas at constant mass

T= Temperature at constant mass

P= pressure at constant mass

.

Given that,

At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.

=15 cubic feet, =40 pound per square inch and = 300 K

, =20 pound per square inch and = 320k

.

Plugging all values

cubic feet

Therefore the volume of the gas is 32 cubic feet.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of