Question

What is the pressure of a car tire that had an initial pressure of 1.8 atm but was heated from 38°C to 123°C?

A) 3.4 atm
B) 2.1 atm
C) 0.9 atm
D) 1.6 atm​

Answer 1

The pressure of the car tire after being heated is approximately 2.29 atm.

Step-by-step explanation:

In order to determine the pressure of a car tire that has been heated, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperatures from Celsius to Kelvin by adding 273.15.

Initial temperature: 38°C + 273.15 = 311.15 K

Final temperature: 123°C + 273.15 = 396.15 K

Next, we can set up the equation using the given initial pressure and solve for the final pressure:

(1.8 atm) * V = n * (0.0821 L·atm/mol·K) * 311.15 K

Final pressure = (1.8 atm) * V * (396.15 K) / (311.15 K)

Since the volume is not given, we cannot solve for the exact pressure. However, we can determine the final pressure relative to the initial pressure.

Final pressure = (1.8 atm) * (396.15 K) / (311.15 K)

Final pressure ≈ 2.29 atm

So the answer is not listed among the options provided.