Two glass bulbs $^{'} K^{'}$ and $^{'} L^{'}$ are connected by a very small tube having a stop-cork. Bulb $^{'} K^{'}$ has a volume of $100 c m^{3}$ and contained the gas while bulb $^{'} L^{'}$ was empty. On opening the stop-cork, the pressure fell down to $40$ %. The volume of the bulb $^{'} L^{'}$ must be:

74 c m^{3}

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

125 c m^{3}

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

150 c m^{3}

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

250 c m^{3}

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

Open in App

Solution

The correct option is C $150 c m^{3}$

Let volume of vessel to be $V_{L}$
Pressure of $K$ vessel $\to P_{1}$
$V_{K} = 100 c m^{3}$
$P_{1} = P$ after opening of cork $P_{2} = P \times \frac{40}{100} \to P_{2} = 2 P / 5$
$n_{K (i)} = (n_{K} + n_{L})$
$\Rightarrow P_{1} V_{K} = P_{2} (V_{L} + V_{K})$
$P (100) = \frac{2 P}{5} (V_{L} + 100)$
$500 = 2 V_{L} + 200$
$V_{L} = 150 c m^{3}$

Suggest Corrections

Similar questions

Q. Two glass bulbs A and B at same temperature are connected by a very small tube having a stop cork. Bulb A has a volume of

100 c m^{3}

and contained the gas while bulb B was empty. On opening the stop cork, the pressure fell down to 20%. What is the volume of the bulb B?

Q. Two glass bulbs A and B are connected by a very small tube having a stop cock. Bulb A has a volume of 100

c m^{3}

and contained the gas, while bulb B was empty. On opening the stop cock, the pressure fell down 40%. The volume of the bulb B must be ?

Q. Two glass bulbs

A

and

B

at same temperature are connected by a very small tube having a stop-cork. Bulb

A

has a volume of

100 {c m}^{3}

and contained the gas while bulb

B

was empty and on opening the stop-cock the pressure dropped by

20

%. The volume of the bulb

B

must be

Q. A glass bulb A and B are connected by a very small tube having a stop cock. Bulb A has a volume of 100 ml and contained the gas while bulb B was empty. On opening the stop cock, the pressure fell down to 40%. Assuming the temperature remains constant, the volume of the bulb B must be

Two glass bulbs A and B are connected by very small tube having a stop cock. Bulb A has a volume of 100 ml and contained the gas while bulb B was empty and has a volume of 150 ml. On opening the stop cock, the pressure of the gas in bulb A will fall down to___.

Join BYJU'S Learning Program

Two glass bulbs ′K′ and ′L′ are connected by a very small tube having a stop-cork. Bulb ′K′ has a volume of 100 cm3 and contained the gas while bulb ′L′ was empty. On opening the stop-cork, the pressure fell down to 40%. The volume of the bulb ′L′ must be:

The correct option is C 150 cm3Let volume of vessel to be VLPressure of K vessel →P1VK=100cm3P1=P after opening of cork P2=P×40100→P2=2P/5nK(i)=(nK+nL)⇒P1VK=P2(VL+VK) P(100)=2P5(VL+100) 500=2VL+200 VL=150cm3