Answer:
1. False, 2. True, 3. False.
Explanation:
1. False, if the system loses energy to the surroundings, the surroundings receive such energy.
[tex]\Delta U_{sys}<0[/tex]
[tex]\Delta U_{sys} + \Delta U_{surr} = 0[/tex]
[tex]\Delta U_{sys} = -\Delta U_{surr}[/tex]
[tex]\Delta U_{surr}>0[/tex]
2. True, if the system gains more thermal energy, the temperature of the surroundings decreases.
[tex]Q_{sys} = \Delta U_{sys}, Q_{sys}>0\\Q_{surr} =\Delta U_{surr}\\\Delta U_{sys} = -\Delta U_{surr}\\Q_{sys} =-Q_{surr}\\C_{sys} \cdot \Delta T_{sys} = - C_{surr} \cdot \Delta T_{surr}\\\Delta T_{sys}>0,\Delta T_{surr}<0[/tex]
3. False. The surroundings could lose 25 kJ of energy.
1. When the system loses energy, the surrounding should receive the energy. So, it is false.
2. When the system gains thermal energy so the temperature should increase. So, it is true.
3. The surrounding should lose 25 kJ of energy. So, it is false.
a. When the system loses energy, the surrounding should receive the energy. So, it is false.
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[tex]\Delta U_{sys} <0\\\\\Delta U_{sys} + \Delta _{surr} = 0\\\\\Delta U_{sys} = -DeltaU_{surr}\\\\DeltaU_{surr} >0[/tex]
b. When the system gains thermal energy so the temperature should increase. So, it is true.
[tex]Q_{sys} = \Delta U_{sys}, Q_{sys}>0\\\\Q_{sys} = \Delta U_{surr}\\\\\Delta U_{sys} = - \Delta U_{surr}\\\\Q_{sys} = -Q{surr}\\\\C_{sys}.\Delta T_{sys} = -C_{surr}.\Delta T_{surr}\\\\\Delta T_{sys}>0,\Delta T_{surr}<0[/tex]
3. The surrounding should lose 25 kJ of energy. So, it is false.
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