A steel bottle contains 20 L of gas at 10 atm and 27 -C- What is its volume at STP-

Applying the ideal gas equation, n_1 = n_2 P_1 V_1RT_1 = P_2 V_2RT_2 Initial pressure P_1 = 10 atm Initial volume V_1 = 20 L Initial temperature T_1 = 300 K Fi ...

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

Byju's Answer

Standard XIII

Chemistry

Ideal Gas Equation

A steel bottl...

Question

A steel bottle contains $20 L$ of gas at $10 atm$ and $27^{\circ} C$ . What is its volume at STP?

44.8 L

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

20 L

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

200 L

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

182 L

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

Open in App

Solution

The correct option is D $182 L$
Applying the ideal gas equation,
$n_{1} = n_{2}$
$\frac{P_{1} V_{1}}{R T_{1}} = \frac{P_{2} V_{2}}{R T_{2}}$

Initial pressure $P_{1} = 10 atm$
Initial volume $V_{1} = 20 L$
Initial temperature $T_{1} = 300 K$
Final pressure $P_{2} = 1 atm$
Final temperature $T_{2} = 273 K$
Final volume $V_{2}$ is obtained as follows,
$\frac{10 \times 20}{R \times 300} = \frac{1 \times V_{2}}{R \times 273}$
$\Rightarrow V_{2} = 182 L$

Suggest Corrections

Similar questions

Q. A steel bottle contains

20 L

of gas at

10 atm

and

27^{\circ} C

. What is its volume at STP?

Q. A gas acquires

24.6 l

1 a t m

and

27^{o} C

temperature. What volume it will occupy at

10 a t m

373^{o} C

Q. What is the volume at STP of 10 L of gas initially at 546 K and 2 atm ?

Q. A gas occupies

600 m l

27^{o} C

and

730 m m

pressure. What would be its volume at STP.

Q. A Spherical balloon of diameter 21cm is to be filled with

H_{2}

gas at 27°C and 1 atm pressure from a cylinder containing gas at 10 atm at 27°C. If the volume of the cylinder is 2.695 L. Calculate the number of balloons that can be filled ___

Join BYJU'S Learning Program

A steel bottle contains 20 L of gas at 10 atm and 27 ∘C. What is its volume at STP?

The correct option is D 182 LApplying the ideal gas equation, n1=n2 P1V1RT1=P2V2RT2 Initial pressure P1=10 atm Initial volume V1=20 L Initial temperature T1=300 K Final pressure P2=1 atm Final temperature T2=273 K Final volumeV2 is obtained as follows, 10×20R×300=1×V2R×273 ⇒V2=182 L

A steel bottle contains $20 L$ of gas at $10 atm$ and $27^{\circ} C$ . What is its volume at STP?