1
JEE Main 2020 (Online) 9th January Evening Slot
Numerical
+4
-0
A cylinder containing an ideal gas (0.1 mol of 1.0 dm3) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S1 and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be____.

(Given, Kf (water) = 2.0 K kg mol–1,
R = 0.08 dm3 atm K–1 mol–1)

2
JEE Main 2020 (Online) 9th January Evening Slot
Numerical
+4
-0
A sample of milk splits after 60 min. at 300 K and after 40 min. at 400 K when the population of lactobacillus acidophilus in it doubles. The activa tion energy (in kJ/ mol) for this process is closest to__________.

(Given, R = 8.3 J mol–1 K–1, $$\ln \left( {{3 \over 2}} \right) = 0.4$$, e–3 = 4.0)
3
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
NaClO3 is used, even in spacecrafts, to produce O2. The daily consumption of pure O2 by a person is 492L at 1 atm, 300K. How much amount of NaClO3, in grams, is required to produce O2 for the daily consumption of a person at 1 atm, 300 K ?
NaClO3(s) + Fe(s) $$\to$$ O2(g) + NaCl(s) + FeO(s)
R = 0.082 L atm mol–1 K–1
4
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
At constant volume, 4 mol of an ideal gas when heated from 300 K to 500K changes its internal energy by 5000 J. The molar heat capacity at constant volume is _______.
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