An ideal gas is filled in a closed rigid and thermally insulated container- A coil of 100 - resistor carrying current 1 A for 5 min supplies heat to the gas- The change in internal energy of the gas is

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Ideal Gas Equation

An ideal gas ...

Question

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $100 Ω$ resistor carrying current $1 A$ for $5 m i n$ supplies heat to the gas. The change in internal energy of the gas is

10 k J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30 k J

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

20 k J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0 k J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $30 k J$
In this system no work done is by the gas. So change in internal energy is equal to the heat supplied.
Thus, $Δ U = H = i^{2} R t = 1^{2} \times 100 \times (5 \times 60) = 30000 J = 30 k J$

Suggest Corrections

Similar questions

Q. Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance

100 Ω

by passing a current of

1 A

for five minutes, then change in internal energy of the gas is

Q. A rigid container with thermally insulated walls contains a coil of resistance 100 ohm, carrying current 1A. Change in internal energy after 5 min will be

(a) 10 kJ

b) zero

(c) 20 kJ

(d) 30 kJ

Q. A thermally insulated rigid container contains an ideal gas. It is heated through a resistance coil of 100

Ω

by passing a current of 1 A for five minutes, then change in internal energy of the gas is

Q. A rigid container with, thermally insulated walls contains a gas and a coil of resistance

50 Ω

carrying a current of

1 A

. The change in internal energy of the gas after

2

minutes will be

A thermally insulated rigid container contains an ideal gas at $27^{o} C$ . It is fitted with a heating coil of resistance 50 $Ω$ . A current is passed through the coil for 10 minutes by connecting it to a d.c. source of 10 V. The change in the internal energy is

Join BYJU'S Learning Program

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of 100Ω resistor carrying current 1A for 5min supplies heat to the gas. The change in internal energy of the gas is

The correct option is C 30 kJIn this system no work done is by the gas. So change in internal energy is equal to the heat supplied.Thus, ΔU=H=i2Rt=12×100×(5×60)=30000 J=30 kJ

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $100 Ω$ resistor carrying current $1 A$ for $5 m i n$ supplies heat to the gas. The change in internal energy of the gas is

The correct option is C $30 k J$
In this system no work done is by the gas. So change in internal energy is equal to the heat supplied.
Thus, $Δ U = H = i^{2} R t = 1^{2} \times 100 \times (5 \times 60) = 30000 J = 30 k J$