A sample of water at is contained in an insulated calorimeter of negligible heat capacity

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

100\,\text{g}

sample of water at

25.0\,^{\circ}\text{C}

is contained in an insulated calorimeter of negligible heat capacity. A

10.0\,\text{g}

piece of metal at

95.0\,^{\circ}\text{C}

is added. After thermal equilibrium is reached, the final temperature of the water–metal system is

27.0\,^{\circ}\text{C}

. Which statement best accounts for the energy changes in this experiment? (a)

q_{\text{metal}}

is negative,

q_{\text{water}}

is positive, but

|q_{\text{metal}}| < |q_{\text{water}}|

because the water sample has the larger mass. (b)

q_{\text{metal}}

is positive,

q_{\text{water}}

is negative, and

|q_{\text{metal}}| > |q_{\text{water}}|

because the metal undergoes the larger temperature change. (c)

q_{\text{metal}}

is negative,

q_{\text{water}}

is positive, and

|q_{\text{metal}}| = |q_{\text{water}}|

because energy lost by the metal equals the energy gained by the water. (d)

q_{\text{metal}}

is negative,

q_{\text{water}}

is positive, and

|q_{\text{metal}}| > |q_{\text{water}}|

because metals generally have larger specific heats.