Final answer:
To find the new volume of a gas at different conditions, you can use the combined gas law equation and plug in the given values. In this case, the new volume would be calculated using the equation (1 atm)(0.255 L)/(303 K) = (85.0 kPa)(V2)/(30+273).
Step-by-step explanation:
To find the new volume of a gas at different conditions, you can use the combined gas law equation: P1V1/T1 = P2V2/T2. In this equation, P1, V1, and T1 represent the initial pressure, volume, and temperature, while P2, V2, and T2 represent the final pressure, volume, and temperature.
- Convert the initial volume to liters by dividing 255 mL by 1000 mL/L, which gives you 0.255 L.
- Convert the initial temperature to Kelvin by adding 273 to 30°C, which gives you 303 K.
- Convert the final temperature to Kelvin by adding 273 to 30°C, which gives you 303 K.
- Plug the values into the combined gas law equation: (1 atm)(0.255 L)/(303 K) = (85.0 kPa)(V2)/(30+273).
- Solve for V2 by multiplying both sides by (30+273) and dividing by 85.0 kPa: V2 = (1 atm)(0.255 L)(85.0 kPa)/(303 K).
- Calculate V2 to find the new volume of the gas.