Physics (AS & A Level) · Oct / Nov 2016 · Paper 43 · Question 2
9702
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An ideal gas initially has pressure 1.0 × 105 Pa, volume 4.0 × 10−4 m3 and temperature 300 K, as illustrated in Fig. 2.1. 1.0 × 105 Pa 4.0 × 10–4 m3 300 K 5.0 × 105 Pa 4.0 × 10–4 m3 T initial state final state Fig. 2.1 A change in energy of the gas of 240 J results in an increase of pressure to a final value of 5.0 × 105 Pa at constant volume. The thermodynamic temperature becomes T.
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2(a)(i)[2]
p ∝ T or pV / T = constant or pV = nRT T (= 5 × 300 =) 1500 K [2]
2(a)(ii)[2]
pV = nRT 1.0 × 105 × 4.0 × 10–4 = n × 8.31 × 300 or 5.0 × 105 × 4.0 × 10–4 = n × 8.31 × 1500 n = 0.016 mol [2]
2(b)(i)[2]
1. heating/thermal energy supplied 2. work done on/to system [2]
2(b)(ii)[3]
1. 240 J 2. same value as given in 1. (= 240 J) and zero given for 3. 3. zero [3]
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