Question

The pressure and temperature inside a bike tire is 10 atm and 10 K respectively

Answer 1

Question:

The pressure and temperature inside a bike tire is 10 atm and 10 K

respectively. What will the pressure become in the tire when the temperature is increased 20 K?

Answer:

The pressure will be 20 atm

Explanation:

Here we are given;

Initial pressure, P₁ = 10 atm

Initial Temperature, T₁ = 10 K

Final Temperature, T₂ = 20 K

Final pressure, P₂ = Required

We note that according to Gay Lussac's Law, the pressure of a given mass of gs is directly proportional to its temperature in Kelvin

That is P ∝ T, and

$\frac{P_1}{T_1} = \frac{P_2}{T_2}$

Therefore;

${P_2} = \frac{P_1 \times {T_2}}{T_1} = \frac{10 \times {20}}{10} = 20 \ atm$

The pressure will be 20 atm.