Question

A sample of gas has a volume of 852 mL at 25°C and 2.0 atm. What Celsius temperature is necessary for the gas to have a volume and pressure of 945 mL and 1.3 atm?

Answer 1

To find the necessary Celsius temperature, we can use the combined gas law equation to relate the initial and final conditions of the gas sample. By substituting the given values into the equation and solving for the unknown temperature, we find that the necessary temperature is approximately 11.45°C.

Step-by-step explanation:

To solve this problem, we can use the combined gas law equation:

P1V1/T1 = P2V2/T2

Substituting the given values into the equation, we have:

(2.0 atm)(852 mL)/(25°C) = (1.3 atm)(945 mL)/T2

Simplifying the equation and solving for T2, we find:

T2 = (1.3 atm)(945 mL)(25°C) / (2.0 atm)(852 mL)

Calculating the value, the Celsius temperature necessary for the gas to have a volume and pressure of 945 mL and 1.3 atm is approximately 11.45°C.