Final answer:
To find the pressure of a gas at 35.0C when its pressure at 50.0C is 0.370 atm, we use the combined gas law. We convert temperatures to Kelvin and solve for the final pressure, yielding a result of 0.353 atm.
Step-by-step explanation:
The question asks for the change in pressure of a gas when the temperature is decreased from 50.0°C to 35.0°C. To solve this, we can use the combined gas law which shows the relationship between pressure, volume and temperature. The combined gas law formula is:
P1/T1 = P2/T2
Where:
- P1 is the initial pressure
- T1 is the initial temperature (in Kelvin)
- P2 is the final pressure
- T2 is the final temperature (in Kelvin)
First, we must convert the Celsius temperatures to Kelvin by adding 273.15:
- 50.0°C + 273.15 = 323.15 K
- 35.0°C + 273.15 = 308.15 K
Now, we plug in the values into the combined gas law equation:
(0.370 atm / 323.15 K) = (P2 / 308.15 K)
Finally, we solve for P2:
P2 = (0.370 atm * 308.15 K) / 323.15 K
P2 = 0.353 atm
Therefore, the final pressure of the gas at 35.0°C is 0.353 atm.