Respuesta :
Answer:
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
The number of moles present int the vanadium metal to raise the temperature of the sample by 36.7 K is 3.5783.
What is heat capacity?
The heat capacity of a object is the property of it, due to which the object required a certain amount of heat to change its temperature of one degree.
The equation given in the poroblem is,
[tex]q = C_m \times n \times \Delta T[/tex]
Here, ([tex]C_m[/tex]) is the molar heat capacity of the substance and (n) is the number of moles.
Vanadium metal has a molar heat capacity of 24.9 J/mol·K and the 3.27 ✕ 10³ J of heat is required to raise the temperature of the sample by 36.7 K. Thus bu the above formula,
[tex]3.27\times10^{3}= 24.9 \times n \times 36.7\\n=3.5783[/tex]
Hence, the number of moles present int the vanadium metal to raise the temperature of the sample by 36.7 K is 3.5783.
Learn more about the heat capacity here;
https://brainly.com/question/16559442
