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

THE PRESSURE OF THE TIRE ON THE TRIP HOME AT THE ROAD SURFACE TEMPERATURE OF 32°C IS 160 kPa.

Explanation:

Initial Pressure = 75 kPa

Initial temperature = 15 °C

Final temperature = 32 °C

Final pressure = unknown

Using the combined equation of gases;

P1V1/T1 = P2V2/ T2

Since the tire will have the same volume of air in it showing that volume of constant both at the repair shop and on the road surface.

The relationship between pressure and temperature is used with constant volume.

P1/T1 = P2/ T2

75 kPa / 15 °C = P2 / 32 °C

P2 = 75 kPa * 32 °C / 15 °C

P2 = 2400 kPa °C / 15 °C

P2 = 160 kPa.

So therefore, the pressure of the tire on the trip home when the temperature of the road surface is 32°C is 160 kPa.

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