# Problem: You may want to reference (Pages 166 - 172)Section 5.2 while completing this problem.A mixture of gases A2 and B2 are introduced to a slender metal cylinder that has one end closed and the other fitted with a piston that makes a gas-tight seal so that the gases are a closed system. The cylinder is submerged in a large beaker of water whose temperature is 25˚C, and a spark is used to trigger a reaction in the cylinder. At the completion of the reaction, the piston has moved downward, and the temperature of the water bath has increased to 28˚C. If we define the system as the gases inside the cylinder, which of the following best describes the signs of q, w, and ΔE for this reaction?(a) q &lt; 0, w &lt; 0, ΔE &lt; 0(b) q &lt; 0, w &gt; 0, ΔE &lt; 0(c) q &lt; 0, w &gt; 0, the sign of ΔE cannot be determined from the information given(d) q &gt; 0, w &gt; 0, ΔE &gt; 0(e) q &gt; 0, w &lt; 0, the sign of ΔE cannot be determined from the information given

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###### FREE Expert Solution

Internal energy, ΔE:

$\overline{){\mathbf{∆}}{\mathbf{E}}{\mathbf{=}}{\mathbf{q}}{\mathbf{+}}{\mathbf{w}}}$

For heat, q:

+ q → if the system gains, takes in, or absorbs heat or energy
▪ – q → if the system loses, evolves, gives off, or releases heat or energy

For work, w:

+ w → work is done on the system by the surroundings (volume: compresses)
▪ – w → work is done by the system on the surroundings (volume: expands)

###### Problem Details

You may want to reference (Pages 166 - 172)Section 5.2 while completing this problem.

A mixture of gases A2 and B2 are introduced to a slender metal cylinder that has one end closed and the other fitted with a piston that makes a gas-tight seal so that the gases are a closed system. The cylinder is submerged in a large beaker of water whose temperature is 25˚C, and a spark is used to trigger a reaction in the cylinder. At the completion of the reaction, the piston has moved downward, and the temperature of the water bath has increased to 28˚C. If we define the system as the gases inside the cylinder, which of the following best describes the signs of q, w, and ΔE for this reaction?
(a) q < 0, w < 0, ΔE < 0
(b) q < 0, w > 0, ΔE < 0
(c) q < 0, w > 0, the sign of ΔE cannot be determined from the information given
(d) q > 0, w > 0, ΔE > 0
(e) q > 0, w < 0, the sign of ΔE cannot be determined from the information given