1
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
One mole of ideal gas passes through a process where pressure and volume obey the relation $$P = {P_0}\left[ {1 - {1 \over 2}{{\left( {{{{V_0}} \over V}} \right)}^2}} \right]$$. Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes form V0 to 2V0
A
$${3 \over 4}{{{P_0}{V_0}} \over R}$$
B
$${1 \over 2}{{{P_0}{V_0}} \over R}$$
C
$${5 \over 4}{{{P_0}{V_0}} \over R}$$
D
$${1 \over 4}{{{P_0}{V_0}} \over R}$$
2
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $$\Delta$$T. the heat required to produce the same change in temperature, at a constant pressure is :
A
$${7 \over 5}Q$$
B
$${3 \over 2}Q$$
C
$${2 \over 3}Q$$
D
$${5 \over 3}Q$$
3
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by 20°C is : [Given that R = 8.31 J mol–1 K–1]
A
374 J
B
700 J
C
748 J
D
350 J
4
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
A 25 × 10–3 m3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300K). The molecular diameter of O2, and its root mean square speed, are found to be 0.3 nm, and 200 m/s, respectively. What is the average collision rate (per second) for an O2 molecule ?
A
~1013
B
~1012
C
~1011
D
~1010
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