When $100$ g of a liquid A at $100^{o}$ C is added to $50$ g of a liquid B at temperature $75^{o}$ C, the temperature of the mixture becomes $90^{o}$ C. The temperature of the mixture, if $100$ g of liquid A at $100^{o}$ C is added to $50$ g of liquid B at $50^{o}$ C, will be?

80^{o}

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

60^{o}

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

70^{o}

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

85^{o}

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

Open in App

Solution

The correct option is A $80^{o}$ C
$100 \times S_{A} \times [100 - 90] = 50 \times S_{B} \times (90 - 75)$
$2 S_{A} = 1.5 S_{B}$
$S_{A} = \frac{3}{4} S_{B}$
Now, $100 \times S_{A} \times [100 - T] = 50 \times S_{B} (T = 50)$
$2 \times (\frac{3}{4}) (100 - T) = (T - 50)$
$300 - 3 T = 2 T - 100$
$400 = 5 T$
$T = 80$ .

Suggest Corrections

Similar questions

Q. When 100 g of a liquid A at

100^{0}

C is added to 50 g of a liquid B at temperature

75^{0}

C, the temperature of the mixture becomes

90^{0}

C. The temperature of the mixture, if 100 g of liquid A at

100^{0}

C is added to 50 g of liquid B at

50^{0}

C, will be:

Liquid A of specific heat capacity 1 J g⁻¹ K⁻¹ at a temperature of $50^{\circ} C$ is mixed with 100g of a liquid B of specific heat capacity 2 J g⁻¹ K⁻¹ at $30^{\circ} C$ .The final temperature of mixture becomes $40^{\circ} C$ . Find the mass of liquid A.

Q. How many grams of a liquid of specific heat

0.2 {cal/g}^{\circ} C

at a temperature

40^{\circ} C

must be mixed with

100 g

of a liquid of specific heat

0.5 {cal/g}^{\circ} C

at a temperature

20^{\circ} C

, so that the final temperature of the mixture becomes

32^{\circ} C

Liquid A of specific heat capacity $0.84 J g^{- 1} k^{- 1}$ at a temperature of $50^{\circ} C$ is mixed with $200 g$ of a liquid B of specific heat capacity $2.1 J g^{- 1} k^{- 1}$ at $30^{\circ} C$ . The final temperature of mixture becomes $42^{\circ} C$ . The mass of liquid A (in $g$ ) will be