A metal box is made up of an alloy of zinc and copper metals. It weighs 302 g and 320 g in a liquid of relative density 1.4 and water, respectively. The specific gravities (or relative densities) of zinc and copper are 7.4 and 8.9, respectively. Arrange the following steps in a proper sequential order to find the masses of metals in the alloy.
(a) Find the weight of the box in a liquid of relative density 1.4 and water along with the relative densities of zinc and copper from the information given in the problem
(b) Note down the metals present in the metal box.
(c) Let the masses and volumes of copper and zinc be $m_{c} . m_{z}, v_{c}$ and $v_{z}$ respectively. The weight (w) and volume (v) of the box would be equal to $m_{c} + m_{z}$ and $v_{c} + v_{m}$ , respectively.
(d) The relative density of liquid $1.4 = \frac{w - 302}{w - 320}$ find the value of ‘w’.
(e) The density of the alloy used for the box is, $d = \frac{m _{c} + m _{z}}{v _{c} + v _{z}}$ substitute $v_{c} = \frac{m _{c}}{d _{c}}$ and $v_{z} = \frac{m _{z}}{d _{z}} = \frac{w - m _{c}}{d _{z}}$ , find the masses of $m_{c}$ and $m_{z}$ .
(f) The density of alloy, $d = \frac{w}{w - 320}$

Question

A metal box is made up of an alloy of zinc and copper metals. It weighs 302 g and 320 g in a liquid of relative density 1.4 and water, respectively. The specific gravities (or relative densities) of zinc and copper are 7.4 and 8.9, respectively. Arrange the following steps in a proper sequential order to find the masses of metals in the alloy.
(a) Find the weight of the box in a liquid of relative density 1.4 and water along with the relative densities of zinc and copper from the information given in the problem
(b) Note down the metals present in the metal box.
(c) Let the masses and volumes of copper and zinc be

m_{c} . m_{z}, v_{c}

and

v_{z}

respectively. The weight (w) and volume (v) of the box would be equal to

m_{c} + m_{z}

and

v_{c} + v_{m}

, respectively.
(d) The relative density of liquid

1.4 = \frac{w - 302}{w - 320}

find the value of ‘w’.
(e) The density of the alloy used for the box is,

d = \frac{m _{c} + m _{z}}{v _{c} + v _{z}}

substitute

v_{c} = \frac{m _{c}}{d _{c}}

and

v_{z} = \frac{m _{z}}{d _{z}} = \frac{w - m _{c}}{d _{z}}

, find the masses of

m_{c}

and

m_{z}

.
(f) The density of alloy,

d = \frac{w}{w - 320}

Filo · Accepted Answer

(b) Note down the metals present in the metal box.
(c) Let the masses and volumes of copper and zinc be

m_{c} . m_{z}, v_{c}

and

v_{z}

respectively. The weight (w) and volume (v) of the box would be equal to

m_{c} + m_{z}

and

v_{c} + v_{m}

, respectively.
(a) Find the weight of the box in a liquid of relative density 1.4 and water along with the relative densities of zinc and copper from the information given in the problem
(d) The relative density of liquid

1.4 = \frac{w - 302}{w - 320}

find the value of ‘w’.
(f) The density of alloy,

d = \frac{w}{w - 320}

(e) The density of the alloy used for the box is,

d = \frac{m _{c} + m _{z}}{v _{c} + v _{z}}

substitute

v_{c} = \frac{m _{c}}{d _{c}}

and

v_{z} = \frac{m _{z}}{d _{z}} = \frac{w - m _{c}}{d _{z}}

, find the masses of

m_{c}

and

m_{z}

.

Question Text	A metal box is made up of an alloy of zinc and copper metals. It weighs 302 g and 320 g in a liquid of relative density 1.4 and water, respectively. The specific gravities (or relative densities) of zinc and copper are 7.4 and 8.9, respectively. Arrange the following steps in a proper sequential order to find the masses of metals in the alloy. (a) Find the weight of the box in a liquid of relative density 1.4 and water along with the relative densities of zinc and copper from the information given in the problem (b) Note down the metals present in the metal box. (c) Let the masses and volumes of copper and zinc be $m_{c} . m_{z}, v_{c}$ and $v_{z}$ respectively. The weight (w) and volume (v) of the box would be equal to $m_{c} + m_{z}$ and $v_{c} + v_{m}$ , respectively. (d) The relative density of liquid $1.4 = \frac{w - 302}{w - 320}$ find the value of ‘w’. (e) The density of the alloy used for the box is, $d = \frac{m _{c} + m _{z}}{v _{c} + v _{z}}$ substitute $v_{c} = \frac{m _{c}}{d _{c}}$ and $v_{z} = \frac{m _{z}}{d _{z}} = \frac{w - m _{c}}{d _{z}}$ , find the masses of $m_{c}$ and $m_{z}$ . (f) The density of alloy, $d = \frac{w}{w - 320}$
Topic	Gravitation
Subject	Science
Class	Class 9
Answer Type	Text solution:1
Upvotes	58

Text solutionVerified

Practice more questions from Gravitation

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Practice more questions from Gravitation

Practice questions on similar concepts asked by Filo students

Related books for questions on Gravitation