Question

At what Celsius temperature will a gas with a volume of 8.5 dm³ at 53 degrees Celsius have a volume of 6.4 dm³?

Answer 1

To find the final temperature at which the gas has a volume of 6.4 dm³, we can use the combined gas law formula. By substituting the known values and solving the equation, we find that the final temperature is -27°C.

Step-by-step explanation:

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

P1V1/T1 = P2V2/T2

1. Identify the known values:

• V1 = 8.5 dm³ (initial volume)
• T1 = 53°C (initial temperature)
• V2 = 6.4 dm³ (final volume)
• T2 = ? (final temperature in Celsius)

Convert the temperatures to Kelvin:

• T1 = 273 + 53 = 326 K

Apply the formula:

• P1V1/T1 = P2V2/T2
• (1 atm)(8.5 dm³)/(326 K) = (1 atm)(6.4 dm³)/(T2)

Solve for T2:

• T2 = (6.4 dm³)(326 K)/(8.5 dm³)
• T2 = 246 K

Convert T2 back to Celsius:

• T2 = 246 K - 273 = -27°C

Therefore, at a temperature of -27°C, the gas will have a volume of 6.4 dm³.