Calculate the pressure exerted by 1.2 mol of gas in a volume of 28.2 L and at a temperature of 61 C.
PV=nRT
To calculate the pressure exerted by a gas, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure,
V = volume,
n = number of moles of the gas,
R = ideal gas constant (0.0821 L·atm/(mol·K)),
T = temperature in Kelvin.
In order to solve this problem, we need to convert the given temperature from Celsius to Kelvin:
T(K) = T(C) + 273.15
Let's substitute the given values into the equation and calculate the pressure:
P(unknown) * V(28.2 L) = n(1.2 mol) * R(0.0821 L·atm/(mol·K)) * T(61 C + 273.15)
Now, let's solve for P:
P = (n * R * T) / V
P = (1.2 mol * 0.0821 L·atm/(mol·K) * (61 C + 273.15) K) / 28.2 L
Calculating this expression will give us the pressure exerted by the gas.