Question

what was the initial temperature is 250 calories reply .1 kg of gold the final temperature of the gold was 175°c ? the specific heat cold is 0.175 °c​

Answer 1

Answer:

$115.2^{\circ}C$

Explanation:

When an amount of energy Q is supplied to a substance of mass m, the temperature of the substance increases by $\Delta T$, according to the equation

$Q=mC_s \Delta T$

where $C_s$ is the specific heat capacity of the substance.

In this problem, we have:

$Q=250 \cdot 4.184 =1046 J$ is the amount of heat supplied to the sample of gold

m = 0.1 kg = 100 g is the mass of the sample

$C_s = 0.175 J/gC$ is the specific heat capacity of gold

Solving for $\Delta T$, we find the change in temperature

$\Delta T = \frac{Q}{m C_s}=\frac{1046}{(100)(0.175)}=59.8^{\circ}$

And since the final temperature was

$T_f = 175^{\circ}$

The initial temperature was

$T_i = T_f - \Delta T= 175 -59.8=115.2^{\circ}C$