Determine the specific heat capacity of an alloy that requires 59.3 kj to raise the temperature of 150.0 g alloy from 298 k to 398 k. 4.38 j/g°c 1.87 j/g°c 2.53 j/g°c 3.95 j/g°c 2.29 j/g°c

The heat that is required to heat up a substance is calculated through the equation,

H = McpdT

where H is the heat, m is the mass, cp is the specific heat, and dT is the difference in the temperature.

To calculate for the cp,

cp = H/MdT

Substituting the known values,

cp = (59.3 x 10^3 J)/(150 g)(398 K - 298 K)

cp = 3.953 J/gC

Hence, the answer is the last choice.

Answer Link

ahirohit963 ahirohit963 · Answer 2 · 2021-10-19T13:51:30+02:00

[tex]\rm c_p = 3.953\;J/gK[/tex]

Step by Step Solution :

Given :

Heat, [tex]\rm H = 59.3\times 10^3\; J[/tex]

Mass = 150 g

[tex]\rm T_1= 298\; K\;and\; T_2=398\;K[/tex]

Calculation :

We know that,

[tex]\rm H= mc_pdT[/tex]

[tex]\rm c_p[/tex] -- Specific heat

dT -- change in temperature

[tex]\rm c_p = \dfrac{H}{mdT}[/tex]

[tex]\rm c_p = \dfrac{59.3\times 10^3}{150\times(398-298)}[/tex]

[tex]\rm c_p = 3.953\;J/gK[/tex]

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