A gas has a volume of 590 mL At a temperature of -55.0 degrees celsius. What volume will the gas occupy at 30.0 degrees celsius? show your work.
I'm just confused as to how to start this and the steps required. I'm not asking for an answer, but rather some steps or formulas needed. Thanks!
the volume is directly related to the absolute (Kelvin) temperature ... also called Charles' Law
... Kelvin temp = Celsius temp + 273
final volume = initial volume * [(final Kelvin temp) / (initial Kelvin temp)]
(V1/T1) = (V2/T2)
Remember T must be in kelvin.
kelvin = 2734.15 + degreed C
Post your work if you get stuck.
To solve this problem, you can use the combined gas law equation, which relates the initial and final volumes of a gas at different temperatures and pressures. The equation is:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 and P2 are the initial and final pressures of the gas (which can be assumed constant).
V1 and V2 are the initial and final volumes of the gas.
T1 and T2 are the initial and final temperatures of the gas (in Kelvin).
Now, let's break down the problem step by step:
1. Convert the temperatures from Celsius to Kelvin by adding 273.15. So, -55.0 degrees Celsius is equal to (-55.0 + 273.15) Kelvin = 218.15 K, and 30.0 degrees Celsius is equal to (30.0 + 273.15) Kelvin = 303.15 K.
2. Plug in the given values into the equation:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
We have V1 = 590 mL, T1 = 218.15 K, and T2 = 303.15 K.
You need to solve for V2, so leave it as an unknown variable.
3. Simplify the equation:
(P1 * V1 * T2) = (P2 * V2 * T1)
4. Rearrange the equation to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
5. Substitute the given values into the equation:
V2 = (P1 * 590 mL * 303.15 K) / (P2 * 218.15 K)
Note: The pressure (P) is not given in the problem. If it is stated that the pressure remains constant, you can simply cancel out the pressure terms. However, if the pressure changes, you need to have that information in order to solve the problem completely.
By following these steps, you should be able to find the volume the gas will occupy at 30.0 degrees Celsius.