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const2013 [10]
3 years ago
11

An object that has a height of 0.4 meter is placed at a distance of 0.7 meter from a concave spherical mirror. An image is forme

d in front of the mirror and has a height of 0.35 meter. How far from the mirror is the image located? A. 0.2000 m B. 0.6125 m C. 0.8000 m D. 0.4275 m
Chemistry
2 answers:
julia-pushkina [17]3 years ago
8 0

Answer: B. 0.6125 m

For spherical concave mirror:

Height of the object, h_o=0.4\hspace{1mm}m

Height of the image, h_i=0.35\hspace{1mm}m

Object distance, u=-0.7 m

we need to find the distance of the image, v.

These are related by the following formula:

\frac{h_i}{h_o}=-\frac{v}{u}\\ \Rightarrow v=u\times\frac{h_i}{h_o}

Insert the values:

v=-(-0.7\times\frac{0.35}{0.4})=0.6125\hspace{1mm}m

Hence, option B is the correct.


Bezzdna [24]3 years ago
7 0

the answer is B. 0.6125 m

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                     a)  2.53 × 10²³ molecules of O₂

                     b)  31.90 g of KCl

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                  The balance chemical equation for given decomposition reaction is as follow;

                                   2 KClO₃ → 2 KCl + 3 O₂

<h3>Part 1:</h3>

Step 1: <u>Calculate Moles for given amount of KClO₃;</u>

                    Moles  =  Mass / M.Mass

                    Moles  =  34.35 g / 122.55 g/mol

                    Moles  =  0.280 moles of KClO₃

Step 2: <u>Find out  moles of O₂ produced;</u>

According to eq,

                  2 moles of KClO₃ produces  =  3 moles of O₂

So,

            0.280 moles of KClO₃ will produce  =  X moles of O₂

Solving for X,

                    X  =  0.280 mol × 3 mol / 2 mol

                     X =  0.42 moles of O₂

Step 3: <u>Calculate No. of Molecules of O₂ as,</u>

No. of Molecules  =  Moles × 6.022 × 10²³

No. of Molecules  =  0.42 mol × 6.022 × 10²³ molecules/mol

No. of Molecules  =  2.53 × 10²³ molecules of O₂

<h3>Part 2:</h3>

Step 1: <u>Calculate Moles for given amount of KClO₃;</u>

                    Moles  =  Mass / M.Mass

                    Moles  =  52.53 g / 122.55 g/mol

                    Moles  =  0.428 moles of KClO₃

Step 2: <u>Find out  moles of KCl produced;</u>

According to eq,

                  2 moles of KClO₃ produces  =  2 moles of KCl

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            0.428 moles of KClO₃ will produce  =  X moles of KCl

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                    X  =  0.428 mol × 2 mol / 2 mol

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