A 100-W lightbulb is placed in a cylinder equipped with a moveable piston. The lightbulb is turned on for 0.015 hour, and the assembly expands from an initial volume of 0.85 L to a final volume of 5.88 L against an external pressure of 1.0 atm. Use the wattage of the lightbulb and the time it is on to calculate ΔE in joules (assume that the cylinder and lightbulb assembly is the system and assume two significant figures). Calculate w. Calculate q.

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1. Convert the time the lightbulb is on from hours to seconds by multiplying 0.015 hours by 3600 seconds/hour.
2. Calculate the energy supplied by the lightbulb in joules using the formula: \( q = \text{power} \times \text{time} \), where power is 100 W and time is the converted time in seconds.
3. Calculate the work done by the system using the formula: \( w = -P_{\text{ext}} \times \Delta V \), where \( P_{\text{ext}} \) is the external pressure (1.0 atm) and \( \Delta V \) is the change in volume (final volume - initial volume). Convert the work from L·atm to joules using the conversion factor 1 L·atm = 101.3 J.
4. Determine the change in internal energy, \( \Delta E \), using the first law of thermodynamics: \( \Delta E = q + w \).
5. Ensure that all values are reported with two significant figures, as specified in the problem statement.