calculate the heat required to raise the temperature of 100g HCl gas (m.wt = 36.5) from 300k to 800k at constant pressure (Cp=30k/j.mol
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To calculate the heat required to raise the temperature of a substance, we can use the equation:
Q = m * C * ΔT
Where:
Q is the heat required (in Joules)
m is the mass of the substance (in grams)
C is the specific heat capacity of the substance (in J/g·K)
ΔT is the change in temperature (in Kelvin)
First, we need to calculate the moles of HCl gas. We can use the formula:
moles = mass / molar mass
Given that the mass of HCl gas is 100g and the molar mass of HCl is 36.5 g/mol:
moles = 100g / 36.5 g/mol = 2.74 mol
Next, we need to convert the specific heat capacity from molar basis to mass basis. The molar specific heat capacity (Cp) is given as 30 J/mol·K. To convert it to J/g·K, we can use the equation:
Cp (J/g·K) = Cp (J/mol·K) / molar mass (g/mol)
Cp (J/g·K) = 30 J/mol·K / 36.5 g/mol = 0.82 J/g·K
Now that we have the necessary values, we can calculate the heat required using the equation:
Q = m * C * ΔT = moles * molar mass * C * ΔT
ΔT = (800 K - 300 K) = 500 K
Q = 2.74 mol * 36.5 g/mol * 0.82 J/g·K * 500 K = 21051.05 J
Therefore, the heat required to raise the temperature of 100g of HCl gas from 300K to 800K at constant pressure is approximately 21051.05 Joules.