Question

1.

A car tire was inflated to 75 kPa at the repair shop where the

temperature is 15 °C. What is the pressure of the tire on the trip home

if the temperature of the road surface is 32 °C? (Write your answer

nearest whole number)

kPa

Answer 1

The pressure of the tire on the trip home is approximately 79 kPa.

Step-by-step explanation:

To solve this problem, we can use the relationship between pressure and temperature known as the ideal gas law, which states that pressure and temperature are directly proportional when volume and number of moles of gas are held constant.

We can use the formula:

P2 = P1 * (T2 / T1)

Where:

P2 is the final pressure

P1 is the initial pressure

T2 is the final temperature (in Kelvin)

T1 is the initial temperature (in Kelvin)

Using the given values, we have:

P1 = 75 kPa

T1 = 15 °C + 273.15 = 288.15 K

T2 = 32 °C + 273.15 = 305.15 K

Substituting the values into the formula, we get:

P2 = 75 * (305.15 / 288.15) = 79.15 kPa

Rounding to the nearest whole number, the pressure of the tire on the trip home is approximately 79 kPa.