a copper rod that has a mass of 200.0 g has an initial temperature of 20.0°c and is heated to 40.0°c. if…

a copper rod that has a mass of 200.0 g has an initial temperature of 20.0°c and is heated to 40.0°c. if 1,540 j of heat are needed to heat the rod, what is the specific heat of copper? use $q = mc_{p}delta t$.\n0.0130 j/(g·°c)\n0.0649 j/(g·°c)\n0.193 j/(g·°c)\n0.385 j/(g·°c)

a copper rod that has a mass of 200.0 g has an initial temperature of 20.0°c and is heated to 40.0°c. if 1,540 j of heat are needed to heat the rod, what is the specific heat of copper? use $q = mc_{p}delta t$.\n0.0130 j/(g·°c)\n0.0649 j/(g·°c)\n0.193 j/(g·°c)\n0.385 j/(g·°c)

Answer

Explanation:

Step1: Identify given values

$m = 200.0\ g$, $\Delta T=T_{2}-T_{1}=40.0^{\circ}C - 20.0^{\circ}C=20.0^{\circ}C$, $q = 1540\ J$

Step2: Rearrange the heat - formula for specific heat

The formula is $q = mC_{p}\Delta T$. Rearranging for $C_{p}$ gives $C_{p}=\frac{q}{m\Delta T}$.

Step3: Substitute values into the formula

$C_{p}=\frac{1540\ J}{200.0\ g\times20.0^{\circ}C}=\frac{1540}{4000}\ J/(g\cdot^{\circ}C)= 0.385\ J/(g\cdot^{\circ}C)$

Answer:

$0.385\ J/(g\cdot^{\circ}C)$