A gas cylinder can withstand a pressure of 15 atm. The pressure of cylinder is measured 12 atm at 27° C. Upto which temperature limit the cylinder will not burst?

Question

A gas cylinder can withstand a pressure of 15 atm. The pressure of cylinder is measured 12 atm at 27° C. Upto which temperature limit the cylinder will not burst? (A) 375° C (B) 102° C (C) 33.75° C (D) 240° C

Tardigrade Admin · Accepted Answer

Cylinder will burst at that temperature when it attains the pressure of

15

atm

P_{1} = 12 a t m; T_{1} = 2 7^{\circ} C = 27 + 273 = 300 K; P_{2} = 15 a t m; T_{2} = ?

\frac{P _{1}}{T _{1}} = \frac{P _{2}}{T _{2}} \Rightarrow T_{2} = \frac{15 \times 300}{12} = 375 K = (375 - 273)^{\circ} C = 10 2^{\circ} C

Q. A gas cylinder can withstand a pressure of $15 a t m$ . The pressure of cylinder is measured $12$ atm at $2 7^{\circ} C$ . Upto which temperature limit the cylinder will not burst?

$37 5^{\circ} C$

$10 2^{\circ} C$

$33.7 5^{\circ} C$

$24 0^{\circ} C$

Q. A gas cylinder can withstand a pressure of 15atm. The pressure of cylinder is measured 12 atm at 27∘C. Upto which temperature limit the cylinder will not burst?

375∘C

102∘C

33.75∘C

240∘C

Cylinder will burst at that temperature when it attains the pressure of 15 atm P1​=12atm;T1​=27∘C=27+273=300K;P2​=15atm;T2​=? T1​P1​​=T2​P2​​⇒T2​=1215×300​=375K=(375−273)∘C=102∘C

Q. A gas cylinder can withstand a pressure of $15 a t m$ . The pressure of cylinder is measured $12$ atm at $2 7^{\circ} C$ . Upto which temperature limit the cylinder will not burst?

$37 5^{\circ} C$

$10 2^{\circ} C$

$33.7 5^{\circ} C$

$24 0^{\circ} C$