Balance the Chemical Equation-$ \mathrm{Ca}\left(\mathrm{PO}_{4}\right)_{2}+\mathrm{SiO}_{2} \longrightarrow P_{4} \mathrm{O}_{10}+\operatorname{CaSiO}_{3} $.

Academic Chemistry NCERT Class 10

The balanced chemical equation is-

2Ca₃(PO₄)₂+ 6SiO₂ ---> P₄O₁₀ + 6CaSiO₃

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Updated on: 10-Oct-2022

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Complete the equations given below-1. Iron \( (\mathrm{Fe})+ \) Oxygen \( \left(\mathrm{O}_{2}\right)+ \) Water \( \left(\mathrm{H}_{2} \mathrm{O}\right) \rightarrow ? \)2. Magnesium \( (\mathrm{Mg})+ \) Oxygen \( \left(\mathrm{O}_{2}\right){\prime} \rightarrow ? \)
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In figure, \( \mathrm{ABC} \) and \( \mathrm{BDE} \) are two equilateral triangles such that \( \mathrm{D} \) is the mid-point of \( \mathrm{BC} \). If \( \mathrm{AE} \) intersects \( \mathrm{BC} \) at \( \mathrm{F} \), show that(i) \( \operatorname{ar}(\mathrm{BDE})=\frac{1}{4} \operatorname{ar}(\mathrm{ABC}) \)(ii) \( \operatorname{ar}(\mathrm{BDE})=\frac{1}{2} \operatorname{ar}(\mathrm{BAE}) \)(iii) \( \operatorname{ar}(\mathrm{ABC})=2 \) ar \( (\mathrm{BEC}) \)(iv) \( \operatorname{ar}(\mathrm{BFE})=\operatorname{ar}(\mathrm{AFD}) \)(v) \( \operatorname{ar}(\mathrm{BFE})=2 \operatorname{ar}(\mathrm{FED}) \)(vi) \( \operatorname{ar}(\mathrm{FED})=\frac{1}{8} \operatorname{ar}(\mathrm{AFC}) \)[Hint: Join \( \mathrm{EC} \) and \( \mathrm{AD} \). Show that \( \mathrm{BE} \| \mathrm{AC} \) and \( \mathrm{DE} \| \mathrm{AB} \)
If \( \sin \mathrm{A}+\sin ^{2} \mathrm{~A}=1 \), then the value of the expression \( \left(\cos ^{2} \mathrm{~A}+\cos ^{4} \mathrm{~A}\right) \) is(A) 1(B) \( \frac{1}{2} \)(C) 2(D) 3
Find the areas of the rectangles whose sides are :(a) \( 3 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \)(b) \( 12 \mathrm{~m} \) and \( 21 \mathrm{~m} \)(c) \( 2 \mathrm{~km} \) and \( 3 \mathrm{~km} \)(d) \( 2 \mathrm{~m} \) and \( 70 \mathrm{~cm} \)
Find the area of a quadrilateral \( \mathrm{ABCD} \) in which \( \mathrm{AB}=3 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm}, \mathrm{CD}=4 \mathrm{~cm} \), \( \mathrm{DA}=5 \mathrm{~cm} \) and \( \mathrm{AC}=5 \mathrm{~cm} \).
Choose the correct answer from the given four options:If \( \triangle \mathrm{ABC} \sim \Delta \mathrm{QRP}, \frac{\operatorname{ar}(\mathrm{ABC})}{\operatorname{ar}(\mathrm{PQR})}=\frac{9}{4}, \mathrm{AB}=18 \mathrm{~cm} \) and \( \mathrm{BC}=15 \mathrm{~cm} \), then \( \mathrm{PR} \) is equal to(A) \( 10 \mathrm{~cm} \)(B) \( 12 \mathrm{~cm} \)(C) \( \frac{20}{3} \mathrm{~cm} \)(D) \( 8 \mathrm{~cm} \)
\( \triangle \mathrm{ABC} \sim \triangle \mathrm{EFD} \). If \( \mathrm{AB}: \mathrm{BC}: \mathrm{CA}=4: 3: 5 \) and the perimeter of \( \triangle \mathrm{DEF} \) is \( 36 \mathrm{~cm} \), find all the sides of \( \triangle \mathrm{DEF} \).
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1. Why does the colour of copper sulphate solution change when an iron nail is dipped in it?2. Give an example of a double displacement reaction other than the one given in Activity 1.10.3. Identify the substances that are oxidised and the substances that are reduced in the following reactions.\[\begin{array}{l}\text { (i) } 4 \mathrm{Na}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{Na}_{2} \mathrm{O}(\mathrm{s}) \text { (ii) } \mathrm{CuO}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{~g}) \rightarrow \mathrm{Cu}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})\end{array}\]

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