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