CNG is an important transportation fuel. When 100 g CNG is mixed with 208 g oxygen in vehicles, it leads to the formation of CO2 and H2O and produced large quantity of heat during this combustion, then the amount of carbon dioxide, produced in grams is _____. [nearest integer] [Assume CNG to be methane]
Consider the following reactions.
\(PCl_3+H_2→A+HCL\)
\(A+H_2o→B+HCL\)
The number of ionisable protons present in the product B is
If the two lines \(l1:\frac{(x−2)}{3}=\frac{(y+1)}{−2},z=2 \)and\( l2:\frac{(x−1)}{1}=\frac{(2y+3)}{α}=\frac{(z+5)}{2} \)are perpendicular, then an angle between the lines l2 and \(l3:\frac{(1−x)}{3}=\frac{(2y−1)}{−4}=\frac{z}{4} \)is
Let the common tangents to the curves 4(x2 + y2) = 9 and y2 = 4x intersect at the point Q. Let an ellipse, centered at the origin O, has lengths of semi-minor and semi-major axes equal to OQ and 6, respectively. If e and I respectively denote the eccentricity and the length of the latus rectum of this ellipse, then \(\frac{1}{e^2}\) is equal to
Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 tanx(cosx – y). If the curve passes through the point (π/4, 0) then the value of \(\int_{0}^{\frac{\pi}{2}} y \,dx\)is equal to :
Let the image of the point P(1, 2, 3) in the line \(L:\frac{x−6}{3}=\frac{y−1}{2}=\frac{z−2}{3} \)be Q. Let R (α, β, γ) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the value of 22(α + β + γ) is equal to ________.
A vector \(\vec{a}\)is parallel to the line of intersection of the plane determined by the vectors\(\hat{i},\hat{i}+\hat{j} \)and the plane determined by the vectors \(\hat{i}−\hat{j},\hat{i}+\hat{k}\). The obtuse angle between \(\vec{a}\) and the vector \(\vec{b}=\hat{i}−2\hat{j}+2\hat{k}\)is
The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is
