150ml of a gas at 27C is heated to 77C at a constant pressure.find the new volume of the gas.
To find the new volume of the gas, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure of the gas (constant in this case)
V = volume of the gas
n = number of moles of the gas (constant in this case)
R = ideal gas constant (constant value)
T = temperature of the gas in Kelvin (K)
First, let's convert the temperatures from Celsius to Kelvin. The conversion from Celsius to Kelvin is given by:
T(K) = T(C) + 273.15
Initial temperature (T1) = 27C + 273.15 = 300.15K
Final temperature (T2) = 77C + 273.15 = 350.15K
Now, rearranging the ideal gas law equation to solve for V:
V1/T1 = V2/T2
Substituting the given values:
V1/(300.15K) = V2/(350.15K)
Now, we can solve for V2 by rearranging the equation:
V2 = V1 * (T2 / T1)
Substituting the given values:
V2 = 150ml * (350.15K / 300.15K)
Calculating the result:
V2 = 175.05 ml
Therefore, the new volume of the gas after being heated to 77C at constant pressure is approximately 175.05 ml.