1
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
A balloon carries a total load of 185 kg at normal pressure and temperature of 27$$^\circ$$C. What load will the balloon carry on rising to a height at which the barometric pressure is 45 cm of Hg and the temperature is $$-$$7$$^\circ$$C. Assuming the volume constant?
A
181.46 kg
B
214.15 kg
C
219.07 kg
D
123.54 kg
2
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :
A
$${1 \over T}$$
B
$${2 \over T}$$
C
$${4 \over T}$$
D
$${3 \over T}$$
3
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
The temperature of equal masses of three different liquids x, y and z are 10$$^\circ$$C, 20$$^\circ$$C and 30$$^\circ$$C respectively. The temperature of mixture when x is mixed with y is 16$$^\circ$$C and that when y is mixed with z is 26$$^\circ$$C. The temperature of mixture when x and z are mixed will be :
A
28.32$$^\circ$$C
B
25.62$$^\circ$$C
C
23.84$$^\circ$$C
D
20.28$$^\circ$$C
4
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
A cylindrical container of volume 4.0 $$\times$$ 10$$-$$3 m3 contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is 400 K. The pressure of the mixture of gases is :

[Take gas constant as 8.3 J mol$$-$$1 K$$-$$1]
A
249 $$\times$$ 101 Pa
B
24.9 $$\times$$ 103 Pa
C
24.9 $$\times$$ 105 Pa
D
24.9 Pa
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