Vanadium metal has a molar heat capacity of 24.9 J/mol·K. Given that q = Cm * n * ΔT, how many moles of vanadium are present if 3.27 ✕ 103 J of heat is required to raise the temperature of the sample by 36.7 K?

number of moles present is 3.58 mol

Explanation:

given data

molar heat capacity C m = 24.9 J/mol·K

q = Cm * n * ΔT

heat require q = 3.27 * 10³ J

temperature ΔT = 36.7 K

to find out

number of moles (n)

solution

we have given equation

q = Cm * n * ΔT ... 1

put here all these value to find n by equation 1

q = Cm * n * ΔT

3.27 * 10³ = 24.9 * n * 36.7

n = 3.27 * 10³ / (24.9 * 36.7)

n = 3.5783

so number of moles present is 3.58 mol