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5. The line \( y=c x+d \) is perpendicular to the line \( y+2 x=4 \) and cuts the line \( y+x+3=0 \) on the \( y \)-axis. Find the values of \( c \) and \( d \).
Algebra Jan 18, 2025
Example Oxygen gas generated by the decomposition of \( \mathrm{KCLO}_{3} \) is collected over water. The volume of \( \mathrm{O}_{2} \) collected at \( 24{ }^{\circ} \mathrm{C} \) and atmospheric pressure of 762 mmHg is 128 ml . Calculate the mass (in grams) of oxygen gas obtained. The pressure of the water vapour at \( 24^{0} \mathrm{C} \) is 22.4 mmHg . \( \left[\mathrm{R}=0.0821\right. \) atm. \( \left.\mathrm{L.}^{-1} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right] \)
Chemistry Jan 17, 2025
, Question Two Sulphur (IV) oxide may be manufactured from ores according to the following equation: \[ 4 \mathrm{FeS}_{2(\mathrm{~s})}+11 \mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{Fe}_{2} \mathrm{O}_{3(\mathrm{~s})}+8 \mathrm{SO}_{2(\mathrm{~g})} . \] Calculate the mass of oxygen in grams required when \( \mathrm{V}=75 \times 10^{-3} \mathrm{~m}^{3} \) of \( \mathrm{SO}_{2} \) produced at \( 100^{\circ} \mathrm{C} \) and \( 101.325 \mathrm{KNm}^{-2}\left[\mathrm{O}=16.0 ; \mathrm{R}=8.314 \mathrm{Jmol}^{-}\right. \)
Chemistry Jan 17, 2025
ASSIGNMENT ONE Questions One A balloon can hold \( 1000 \mathrm{~cm}^{3} \) of air before bursting. The balloon contains \( 975 \mathrm{~cm}^{3} \) of air at \( 5^{\circ} \mathrm{C} \). Indicate giving reasons, whether or not the balloon will burst when it is taken to a room at \( 25^{\circ} \mathrm{C} \). Assume that the pressure of the gas in the balloon remains constant.
Physics Jan 17, 2025
Using the disc method, find the volume of the solid formed by revolving the region bounded by \( y = x^2 \) and \( y = 0 \) from \( x = 0 \) to \( x = 2 \) about the x-axis.
Calculus Jan 17, 2025
\( \frac { 3 m } { 2 n } - \frac { m - 1 } { 5 n } + \frac { m - 2 } { 10 n } , n \neq \)
Algebra Jan 17, 2025
ship sails frem port \( R \) on a beasing \( 065^{\circ} \) post \( s \) a distance of 54 km It thensails \( m \) a beasing of \( 155^{\circ} \) from s to port \( \varphi \) a distance of 80 km . Find correct to 3dp the dustance between \( R \) and \( \otimes \) the beasing of \( \varphi \) from \( R \)
Trigonometry Jan 17, 2025
A ship sails frem port \( R \) on a beasing obs to post s a dustance of 54 km It then sail on a bearing of \( 155^{\circ} \) from s to port \( \varphi \) a of istance of 80 km . Find correct to 3 dp i) the dustance between \( R \) and \( \phi \) the beasing of \( Q \) from \( R \)
Trigonometry Jan 17, 2025
Exercuse The volume ( \( v \) ) of water in a tank is proporfinal to \( \sqrt{c} \) where \( c \) is the rate at which water is kept into the tank and constant is \( k \). 1. Find the value of \( k \) if \( v=60 \) and \( c \) cts 36 ii. Use the value of \( k \) in i. to find the value of \( c \) when \( v \) is 90 Solution. i- \( V \propto \sqrt{c} \) \( V=k \sqrt{c} \) when \( v=60 \) and \( c=36 \) \( 60=k \sqrt{36} \) \( \frac{60}{6}=\frac{6 k}{6} \)
Algebra Jan 17, 2025
Exercuse The volume ( \( v \) ) of water in a tank is proportional to where \( c \) is the rate at which water is kept into the tank and constant is \( k \). 1. Find the value of \( k \) if \( v=60 \) and \( c \neq 36 \) ii. Use the value of \( k \) in i. to find the value of \( c \) when \( v \) is 90
Algebra Jan 17, 2025
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