Question

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answer 1

p = (200 + 7.5t) psi

Explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

= (200 + 7.5t) psi

If the temperature increases by
`1^(o)` F, then;

p = 200 + 7.5(1)

= 200 + 7.5

= 207.5 psi

If the temperature increases by
`10^(o)` F, then;

p = 200 + 7.5(10)

= 200 + 75

= 275 psi