At 7.0 degrees C, the volume of a gas is 49ml. At the same pressure, its volume is 74 mL at what temperature?
422.85
Use the ideal gas law,
PV=nRT
or in this case, use the form
P1V1/T1 = P2V2/T2
where P1=P2,
Solve for T2.
To find the temperature at which the volume of the gas is 74 mL, we can use the relationship between volume and temperature, known as Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature when pressure is kept constant.
Let's use the formula for Charles's Law:
V1 / T1 = V2 / T2
Where:
V1 = initial volume (49 mL)
T1 = initial temperature (7.0 degrees C)
V2 = final volume (74 mL)
T2 = final temperature (unknown; what we want to find)
Now, we can rearrange the formula to solve for T2:
T2 = (V2 * T1) / V1
Substituting the given values:
T2 = (74 mL * 7.0 degrees C) / 49 mL
T2 = 518 / 49
T2 ≈ 10.57 degrees C
Therefore, at the same pressure, the volume of the gas is 74 mL at approximately 10.57 degrees Celsius.
To find the temperature at which the volume of the gas is 74 mL, we can use the Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming the pressure and amount of gas remain constant.
According to Charles's Law, we can write the formula as:
(V1 / T1) = (V2 / T2)
Where:
V1 = initial volume (49 mL)
T1 = initial temperature (7.0 degrees C)
V2 = final volume (74 mL)
T2 = final temperature (unknown)
We can rearrange the formula to solve for T2:
T2 = (V2 * T1) / V1
Plugging in the given values:
T2 = (74 mL * 7.0 degrees C) / 49 mL
Now, let's calculate the final temperature:
T2 = 518 degrees C
Therefore, at the same pressure, the volume of the gas is 74 mL at 518 degrees Celsius.